(a-3b)^3 write the factors​

If the test statistic value falls within the critical region, we reject the null hypothesis (H0) at the given significance level (α).

If the test statistic value falls outside the critical region, we do not reject the null hypothesis.

To determine the decision regarding the null hypothesis based on a test statistic value and a critical region, we need to compare the test statistic value to the critical value(s) of the test.

Since the question does not provide information about the significance level or the directionality of the test, we cannot determine the critical region or make a decision about the null hypothesis based on the test statistic value alone.

More information is needed to interpret the result of the test.

At the specified significance level (), we reject the null hypothesis (H0) if the test statistic value is inside the crucial zone.

If the test statistic result is outside of the acceptable range, the null hypothesis is not rejected.

The test statistic value to the test's critical value(s) in order to decide whether to reject the null hypothesis based on a test statistic value and a crucial area.

We cannot establish the crucial area or choose the null hypothesis based only on the test statistic value since the question does not specify the significance level or directionality of the test.

To understand the test's outcome, more details are required.

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Answer: Choice A)  x = 6.4

To get that answer, you add 4.3 to both sides. This is to undo the "minus 4.3" and isolate the x.

Answer:

\(x - 4.3 = 2.1 \\ x - 4.3 + 4.3 = 2.1 + 4.3 \\ \boxed{x = 6.4}\)

Answer:

not a real number

Step-by-step explanation:

any negative number under a square root sign, except for 0, isn't real

On evaluating the given roots,

(a) \($-(\sqrt[3]{8}) = -2$\)

(b) \($\sqrt[4]{-81}$\) is not a real number

(a) \($-(\sqrt[3]{8})$\):

The cube root of 8 is the number that, when raised to the power of 3, equals 8. In this case, the cube root of 8 is 2, because \(2^3 = 8\).

Since we have a negative sign in front of the cube root, the result will be the negative value of the cube root of 8.

Therefore, \($-(\sqrt[3]{8}) = -2$\).

(b) \($\sqrt[4]{-81}$\):

The fourth root of a number is the number that, when raised to the power of 4, equals the given number.

In this case, we are looking for the fourth root of -81.

However, the fourth root of a negative number is not a real number. This is because raising a positive number to an even power (in this case, 4) will always result in a positive value, and there is no real number that, when raised to the power of 4, gives a negative result.

Therefore, the fourth root of -81 is not a real number.

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The given equation is in the form ax^2 + bx + c = 0, where

a = 2

b = -12

c = 18

Those a,b,c values are plugged into the discriminant formula below

d = b^2 - 4ac

d = (-12)^2 - 4(2)(18)

d = 144 - 144

d = 0

The discriminant is zero, so there is only one real root. This root is specifically a rational number.

Answer:

square root of x.

If the area is "x" the length must be the square root of x because all sides of a square are equal and the square root of x times itself equals x

The amount credited from the partial payment made during the discount period is $1,470. The balance on the invoice after the partial payment was made is $1,530.

The payment terms "4/10n/45" indicate that a 4% discount is applicable if the payment is made within 10 days, and the full amount is due within 45 days. Marcus made a partial payment of $1,500 during the discount period.

To calculate the amount credited, we first determine the discount amount by multiplying the invoice amount ($3,000) by the discount percentage (4%). This gives us a discount of $120. Since Marcus made a partial payment of $1,500, we subtract the discount amount from the partial payment to find the credited amount. Therefore, $1,500 - $120 = $1,380. Rounded to the nearest cent, the amount credited is $1,380.

To calculate the balance on the invoice after the partial payment was made, we subtract the credited amount from the remaining balance. The remaining balance is the invoice amount ($3,000) minus the partial payment ($1,500), which equals $1,500. Subtracting the credited amount of $1,380 from this balance, we get $1,500 - $1,380 = $120. Rounded to the nearest cent, the balance on the invoice after the partial payment is $120.

In summary, the amount credited from the partial payment made during the discount period is $1,380, and the balance on the invoice after the partial payment was made is $120.

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To forecast future demand using trend adjusted exponential smoothing, the given information includes actual demand for the past 16 periods and the parameters required for the forecast. The parameters include the smoothing constant (α), the trend smoothing constant (β), the trend-adjusted forecast for period 5 (TAF5), and the trend for period 5 (T5).

The question asks to prepare a trend-adjusted exponential smoothing forecast based on these parameters.

Trend adjusted exponential smoothing combines exponential smoothing with a trend component to forecast future values. The formula for calculating the forecast is:

Ft+1 = Ft + Tt + α * (At - Ft) + β * (Tt - Tt-1)

Where:

Ft is the forecast for period t

Tt is the trend component for period t

At is the actual demand for period t

α is the smoothing constant

β is the trend smoothing constant

To start, we need to initialize the forecast and trend values. In this case, we are given the trend-adjusted forecast for period 5 (TAF5) and the trend for period 5 (T5). So, we set F5 = TAF5 and T5 = T5.

Next, we can use the formula to calculate the forecast and trend values for the remaining periods.

We iterate through the periods from t = 6 to t = 16, applying the formula to update the forecast and trend values based on the actual demand for each period.

Finally, we round the forecast values to the desired precision.

By following this procedure and applying the given parameters, we can prepare a trend-adjusted exponential smoothing forecast for the future demand.

The forecast values will reflect the trend in the historical data while incorporating the smoothing constants for better accuracy.

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The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

A 12-ounce can of beer contains the same amount of alcohol as a five-ounce glass of wine.

In a five-ounce glass of wine, the percentage of alcohol is 12%, which is the same in the 12-ounce can or bottle of beer, and 1.5 ounces of 86-proof liquor. Although a person under the influence of alcohol will have impaired judgment and therefore must avoid driving, doesn't matter what kind of alcoholic beverage they drink. Digestion of alcohol doesn't take place as soon as you drink it, it is absorbed in your bloodstream which reaches the brain and thus creates impaired judgment.

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To obtain the best estimate of the percentage of people from the town who will attend the next game, the football coach should survey a randomly selected group of people from the town.

By randomly selecting individuals from the town, the sample will be more representative of the town's population, and the coach can obtain a more accurate estimate of the percentage of people who will attend the next game.

Surveying people who have a friend on the football team, or who attended the last game, or people who are on sports teams may result in biased samples that do not accurately represent the town's population as a whole.

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The sets of vectors which are linearly independent from the given vectors are given by,

B. [ 4 -8 6 ], [ -9 -4 -3 ], [ 13 -4 9 ]

E. [ 9 3 0 ], [ -6 5 0 ], [ -2 -7 0 ]

To determine if a set of vectors is linearly independent,

If any vector in the set can be expressed as a linear combination of the other vectors in the set.

Let's analyze each set of vectors,

A. [ 1 -6 ], [ 9 1 ]

The second vector can be expressed as a linear combination of the first vector: 9 × [ 1 -6 ] = [ 9 -54 ].

Therefore, the vectors are linearly dependent.

B. [ 4 -8 6 ], [ -9 -4 -3 ], [ 13 -4 9 ]

There is no obvious linear relationship between these vectors.

To determine if they are linearly independent, we can set up a system of equations and solve for the coefficients.

a × [ 4 -8 6 ] + b × [ -9 -4 -3 ] + c × [ 13 -4 9 ] = [ 0 0 0 ]

Solving this system of equations,

Find that a = b = c = 0 is the only solution.

Therefore, the vectors are linearly independent.

C. [ 1 -6 ], [ 9 1 ]

This set of vectors is the same as set A, so the vectors are linearly dependent.

D. [ 0 0 ], [ 4 3 ]

The first vector is the zero vector, which is always linearly dependent. Therefore, the vectors are linearly dependent.

E. [ 9 3 0 ], [ -6 5 0 ], [ -2 -7 0 ]

There is no obvious linear relationship between these vectors. We can set up a system of equations and solve for the coefficients:

a × [ 9 3 0 ] + b × [ -6 5 0 ] + c× [ -2 -7 0 ] = [ 0 0 0 ]

Solving this system of equations,

find that a = b = c = 0 is the only solution.

Therefore, the vectors are linearly independent.

Therefore, based on the analysis the sets of vectors that are linearly independent are,

B. [ 4 -8 6 ], [ -9 -4 -3 ], [ 13 -4 9 ]

E. [ 9 3 0 ], [ -6 5 0 ], [ -2 -7 0 ]

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Answer:

\(a^6\)

Step-by-step explanation:

a^3 * a^3

= a^3+3

= a^6

Answer:

a⁶ is the simplified expression of a³ • a³

Answer:

91

Step-by-step explanation:

She purchased 4 Paper Lanterns, 12 Bags of Balloons, 11 Garlands, and 4 Banners if she paid $145. 50.

The cost of lanterns is $6.50

Mrs Murphy bought 4 lanterns

Multiply the cost of one lantern ($6.50) by the number of lanterns bought (4) 6.50 multiplied by 4 equals 26

The cost of banners is $5.25

Mrs Murphy bought 4 banners

Multiply the cost of one banner ($5.25) by the number of banners bought (4) 5.25 multiplied by 4 equals 21

Mrs Murphy bought 3 times as many balloons as she did lanterns

So, you multiply the number of lanterns bought (4) by 3

This gives 12

We then multiply the cost of each balloon ($5.00) by the number of balloons bought (12)

5.00 multiplied by 12 equals 60

Mrs Murphy bought 7 more garlands as she did lanterns

So, we add 7 to the number of lanterns bought (4)

7 plus 4 equals 11

To find the cost of the total garlands bought

We multiply the cost of each garland ($3.50) by the number of garlands bought (11)

3.50 multiplied by 11 equals 38.5

Now we can add up the costs of all the items

26+21+60+38.5=145.50

145.50 was the total amount she spent so we know it is the correct answer.

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Answer:

Step-by-step explanation:

The skier would have to go skiing 15  days im pretty sure.

hope im right :)

A histogram with a symmetric distribution looks like this:

Leaving aside the quality of the drawing, the left and the right side of the histogram are identical if we split it by the red line. Is like having a reflexion axis.

Now, we have to discuss what of the 2 data sets may have such an histogram. This means that we must think which of them may have the same number of ocurrences for very short and very long durations, for regular to short and regular to long durations, and so on and so furth.

Pop album tracks:

In the same album we may have arround 12 tracks (small number), all of them with a duration of arround 3 minutes. We could imagine a histogram like the following:

All the songs last between 170 and 190 seconds, and one or two last a little bit more.

Phone talks:

In this case, we can think that there are some calls to say something like "mom, I'm on my way home" and other like "let me tell you the hole movie I saw yesterday night", so very short and very long calls, but they are no so common. There are a lot of "regular" calls that might last for 60 seconds.

Also, in this case, we are taking into account all the calls from people in the school in one day (yesterday), so, may be 1.000 calls? The actual number really doesn't matter, but the fact that the number is very big. Because of the big number, we can expect a symmetric distribution.

a) The probability of a very good poker player earning a profit (more than $0) after playing 40 hands in $100/$200 Texas Hold'em can be calculated using the normal distribution and the given mean ($1) and standard deviation ($31). b) The proportion of the time a very good poker player can expect to earn at least $500 after playing 100 hands in $100/$200 Texas Hold'em can be calculated using the normal distribution and the given mean ($1) and standard deviation ($31).

To compute these probabilities, we need to make some assumptions and use probability distribution calculations based on the given information.

a) To determine the probability of a profit after playing 40 hands, we can use the concept of the normal distribution. We need to calculate the z-score using the formula: z = (x - μ) / σ, where x is the desired profit, μ is the expected profit per hand, and σ is the standard deviation. In this case, x = $0, μ = $1, and σ = $31.

Once we have the z-score, we can use a standard normal distribution table or calculator to find the corresponding probability.

b) Similarly, to find the proportion of the time a player can expect to earn at least $500 after playing 100 hands, we need to calculate the z-score for x = $500, using the same formula as in part (a). Then, we can use the standard normal distribution table or calculator to find the corresponding proportion.

c) To determine the probability of earning a profit during a 14-hour session, we need to calculate the number of hands played, which is 20 hands per hour multiplied by 14 hours. Let's denote it as N. Then, we can calculate the mean profit for the 14-hour session by multiplying the expected profit per hand ($1) by N.

The standard deviation for the session can be calculated by multiplying the standard deviation per hand ($31) by the square root of N. Finally, we can use the normal distribution and the same z-score calculation as in part (a) to find the probability.

Please note that the above calculations assume that the profits from each hand are independent and follow a normal distribution. Real poker outcomes may deviate from these assumptions.

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Answer:

8u - 20

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

First we can solve the parentheses. 3^6*3^-5. Using the rules of exponents attached below, we can do 3^6-5= 3^1 which is 3. Now we have 2(3) which is 6.

Answer:

C

Step-by-step explanation:

Answer:

50mph

Step-by-step explanation:

first divide 150 by 3 and you get 50

then divide 350 by 7 you get 50

and finally divide 500 by 10 and you get 50

Step-by-step explanation:

success

................

Answer:

6 cm

Step-by-step explanation:

Well let me explain... It's saying that side AB has a length of 6 cm and side BC has a length of 10 cm. So we can already start labeling the sides with their given length and actually solve for AC.

Well we don't really got much to say about AC but what we do know is that side AB and AC are equivalent. Why? Cause when there's always a triangle that has two equal sides but one side bigger, the triangle is a isosceles.

So we can say that side AB is (Δ) from the top of the triangle all the way to the left corner (6 cm). Then side BC will be from the left corner to the right corner (10 cm) and side AC will be from the top to the right corner (6 cm).

If x > y and a > b, the option that must be true is D. x + a > y + b.

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

If two inequalities have inequality symbols facing the same direction, we can add the inequalities

For example: 4 < 7 and 1 < 10

So, we can add them to get: 4 + 1 < 7 + 10

Since x > y and a > b have inequality symbols facing the same direction, we can add the inequalities to get: x + a > y + b

The correct option is D.

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If x > y and a > b, which of the following must be true?

A. x > a

B. y > b

C. x + b > y + a

D. x + a > y + b

E. a + b > x + y

Hello,

We need first to know what's a gradient. The Gradient (also called Slope) of a straight line shows how steep a straight line is.

But how do we find the slope (or Gradient) from two points ?

For exemple, let's find the gradient of the two points PQ...

Method

1. We need the coordinates of the point P, and the point Q :

P = (6 ; -11)

Q = (k ; -9)

2. The slope is the change in height divided by the change in horizontal distance.

In other words we :

a) subtract the x values

b) subtract the y values

c) divide

Application for PQ

subtract x values : xQ - xP = k - 6

subtract the y values : yQ - yP = -9 - (-11) = -9 + 11 = 2

divide : (k-6) / 2

That is the gradient of PQ.. Now let us find the gradient of PR

Application for PR

subtract x values : xR - xP = 2k - 6

subtract the y values : yR - yP = -3 - (-11) = -3 + 11 = 8

divide : (2k-6)/8

That is the gradient of PR.

We know that by assumption, gradient of PQ = gradient of PR, what is the value of k ? Well, we simply need to solve an equation here :

gradient of PQ = gradient of PR

(k-6) / 2 = (2k - 6) / 8

k-6 = (4k - 12)/8 (we have multiplied by 2 on each sides of the equation)

8k - 48 = 4k - 12 (we have multiplied by 8 on each sides of the equation)

8k - 4k = - 12 + 48

4k = 36

k = 36 / 4 = 9

So the value of k in order for the two gradients to be equals needs to be equal to 9

Good luck

Answer:

the answer is c

Step-by-step explanation:

as it shows on the graph every hour the earrings increase by 6$

A person's cardiovascular fitness, age, weight, gender, and the severity of the activity performed may all play a role in how fast a person attains steady-state and fully recovers. When an individual is fit, they tend to have a lower resting heart rate than an unfit person. Furthermore, a fit person's heart rate is less likely to climb to high levels during activity, and their muscles are more efficient, requiring less oxygen to function. Finally, fit people tend to have better cardiovascular health and are more capable of removing waste products from their muscles, allowing for a quicker recovery time.

RQ stands for respiratory quotient and represents the ratio of carbon dioxide produced to oxygen consumed. During exercise, RQ rises because the body is using more carbohydrates than fats to generate energy, which increases carbon dioxide production. During the recovery period, RQ decreases as the body switches back to using fat as its primary energy source and oxygen consumption increases.The graph/plot of RQ as a function of time during rest, physical activity, and recovery phases should show a steady increase during physical activity and a decline during recovery. This variation makes sense because during exercise, the body's demand for energy increases, and RQ increases as a result. Conversely, during recovery, the body switches back to using fat as its primary energy source, resulting in a decrease in RQ.

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Answer:

A

Step-by-step explanation:

root of 49 is 7

as we know 7 * 7 is 49

also -7 * -7 is 49

so yeah that's the r8 answer

To transform the given basis for R^n, which is b = {(8, 15), (1, 0)}, into an orthonormal basis using the Gram-Schmidt orthonormalization process, we follow these steps:

1. Let v_1 be the first vector in the given basis, which is (8, 15). Normalize it to obtain the first orthonormal vector u_1 by dividing v_1 by its magnitude: u_1 = (8, 15) / ||(8, 15)||.

2. Let v_2 be the second vector in the given basis, which is (1, 0). Subtract the projection of v_2 onto u_1 from v_2 to obtain a new vector v'_2: v'_2 = v_2 - (v_2 · u_1)u_1.

3. Normalize v'_2 to obtain the second orthonormal vector u_2 by dividing v'_2 by its magnitude: u_2 = v'_2 / ||v'_2||.

Now, the orthonormal basis for R^n is given by b' = {u_1, u_2}.

By following the Gram-Schmidt process with the given basis b = {(8, 15), (1, 0)}, you can calculate the orthonormal basis b' and obtain the vectors u_1 and u_2, which will be orthogonal and normalized.

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